Bibliography

 

1. Knuth Donald. The Art of Computer Programming. Seminumerical Algorithms. Addison-Wesley, 1998. Third Edition

2. Menezes A., van Oorschot P., Vanstone S. Handbook of Applied Cryp-tography. CRC Press; 1996.

3. Rosing Michael. Implementing Elliptic Curve Cryptography. Manning Publications; 1999.

4. Comba Paul G. Exponentiation Cryptosystems on the IBM PC. IBM Systems Journal. 1990;29(4):526–538.

5. Andre Weimerskirch and Christof Paar, Generalizations of the Karat-suba Algorithm for Polynomial Multiplication, Submitted to Design, Codes and Cryptography, March 2002.

6. Paul Barrett, Implementing the Rivest Shamir and Adleman Public Key Encryption Algorithm on a Standard Digital Signal Processor, Advances in Cryptology, Crypto ’86, Springer-Verlag.

7. Montgomery P.L. Modular multiplication without trial division. Mathematics of Computation. April 1985;44(170):519–521.

8. Chae Hoon Lim and Pil Joong Lee, Generating Efficient Primes for Discrete Log Cryptosystems, POSTECH Information Research Labo-ratories.

9. Daemen J., Govaerts R., Vandewalle J. Block ciphers based on Modular Arithmetic. State and Progress in the Research of Cryp-tography. 1993:80–89.

10. R.L. Rivest, A. Shamir, L. Adleman, A Method for Obtaining Digital Signatures and Public-Key Cryptosystems.

11. Whitfield Diffie, Martin E. Hellman, New Directions in Cryptography, IEEE Transactions on Information Theory, 1976.

12. IEEE Standard for Binary Floating-Point Arithmetic (ANSI/IEEE Std 754-1985).

13. GNU Multiple Precision (GMP), www.swox.com/gmp/.

14. Multiple Precision Integer Library (MPI), Michael Fromberger, http://thayer.dartmouth.edu/˜sting/mpi/.

15. OpenSSL Cryptographic Toolkit, http://openssl.org.

16. Large Integer Package, http://home.hetnet.nl/~ecstr/LIP.zip.

17. JTC1/SC22/WG14, ISO/IEC 9899:1999, “A draft rationale for the C99 standard.”

18. The Sun Java Website, http://java.sun.com/.

19. Doklady Akad. Nauk SSSR 145, 1962, pp. 293–294, Reference due to Donald Knuth, The Art of Computer Programming, Volume Two, Third Edition, p.295.

20. Captured from Wikipedia, May 18th 2006, http://en.wikipedia.org/wiki/Polynomial_interpolation.

21. LeVeque William J. Fundamentals of Number Theory. New York: Dover Publication; 1977.

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